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Finding the Fourth Proportional to 10,468.20, 15,702.30 and 9,301.80

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Solution

The fourth proportional to 10,468.20, 15,702.30 and 9,301.80 is: 13,952.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.20 : 15,702.30 = 9,301.80 : x
  2. Step 2: Convert to fraction form
    10,468.20/15,702.30 = 9,301.80/x
  3. Step 3: Cross multiply
    10,468.20x = 15,702.30 × 9,301.80
  4. Step 4: Simplify right side
    10,468.20x = 146,059,654.14
  5. Step 5: Solve for x
    x = 146,059,654.14/10,468.20
  6. Step 6: Final answer
    x = 13,952.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.